What is the Greatest Common Factor of 13248 and 13258?

Greatest common factor (GCF) of 13248 and 13258 is 2.

GCF(13248,13258) = 2

We will now calculate the prime factors of 13248 and 13258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13248 and 13258.

How to find the GCF of 13248 and 13258?

We will first find the prime factorization of 13248 and 13258. After we will calculate the factors of 13248 and 13258 and find the biggest common factor number .

Step-1: Prime Factorization of 13248

Prime factors of 13248 are 2, 3, 23. Prime factorization of 13248 in exponential form is:

13248 = 2⁶ × 3² × 23¹

Step-2: Prime Factorization of 13258

Prime factors of 13258 are 2, 7, 947. Prime factorization of 13258 in exponential form is:

13258 = 2¹ × 7¹ × 947¹

Step-3: Factors of 13248

List of positive integer factors of 13248 that divides 13248 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 32, 36, 46, 48, 64, 69, 72, 92, 96, 138, 144, 184, 192, 207, 276, 288, 368, 414, 552, 576, 736, 828, 1104, 1472, 1656, 2208, 3312, 4416, 6624

Step-4: Factors of 13258

List of positive integer factors of 13258 that divides 13248 without a remainder.

1, 2, 7, 14, 947, 1894, 6629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13248 and 13258. The biggest common factor number is the GCF number.
So the greatest common factor 13248 and 13258 is 2.

Also check out the Least Common Multiple of 13248 and 13258